12211430130240 has 896 divisors, whose sum is σ = 45806611968000. Its totient is φ = 2724663951360.

The previous prime is 12211430130217. The next prime is 12211430130247. The reversal of 12211430130240 is 4203103411221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12211430130240.

It is not an unprimeable number, because it can be changed into a prime (12211430130247) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1095288186 + ... + 1095299334.

Almost surely, 2^{12211430130240} is an apocalyptic number.

12211430130240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12211430130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22903305984000).

12211430130240 is an abundant number, since it is smaller than the sum of its proper divisors (33595181837760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12211430130240 is a wasteful number, since it uses less digits than its factorization.

12211430130240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11355 (or 11345 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 12211430130240 its reverse (4203103411221), we get a palindrome (16414533541461).

The spelling of 12211430130240 in words is "twelve trillion, two hundred eleven billion, four hundred thirty million, one hundred thirty thousand, two hundred forty".